Question

A building lot in a city is shaped as a 30° -60° -90° triangle. The side opposite the 30°
angle measures 41 feet.
a. Find the length of the side of the lot opposite the 60° angle.
b. Find the length of the hypotenuse of the triangular lot.
c. Find the sine, cosine, and tangent of the 30° angle in the lot. Write your answers as
decimals rounded to four decimal places.

Answer 1

@jadeishere please help!

Answer 2

Can you draw the triangle, and label the angles and the given side?

Answer 3

I didn't have one with it it was just the question as you see it...

Answer 4

I don't know how to

Answer 5

don't over think or complicate the problem. read it again and draw the diagram from the information given.

Answer 6

I didn't ask you to copy a triangle.
I asked you top draw one.
Drawing a triangle is very helpful.
Start by drawing a triangle that looks like a right triangle and has the other angles of 30 and 60 degrees approximately.
Then label the sides and the angles.

Answer 7

Once you draw a triangle, it is easier to figure out which leg is the adjacent leg, and which leg is the opposite leg, and it is easier to figure out the sine, cosine, and tangent ratios.

Answer 8

I've seen how others have it but I don't know how to be able to draw one on here...I have it drawn out on a paper of what I think I may be like...

Answer 9

There you have a right triangle with 30-60-90 angles.
Ok so far?

Answer 10

Now can you label what you are given?

Answer 11

That what mine looks like on my paper so yes I'm with you so far

Answer 12

The side opposite the 30° angle measures 41 feet.

Answer 13

just below this response box in the middle you see the word DRAW click on it
on the second icon is a pencil take it from there
then on the bottom right click insert

Answer 14

The figure above shows the three angles and the known and unknown sides of part a.
Do you follow so far?

Answer 15

Yes I do.

Answer 16

Now look at the sides that you are given and that you are looking for.
Are they legs, or a leg and the hypotenuse?

Answer 17

Leg and hypotenuse.

Answer 18

Be careful.
The hypotenuse is always opposite the right angle.
The other two sides are the legs.

Answer 19

You have a right triangle.
You know the length of one leg.
You want the length of the other leg.
You know all three angles.
Which trig ratio, sin, cos, ot tan, uses only the lengths of the two legs, but no hypotenuse?

Answer 20

I'm sorry but I don't know...

Answer 21

No problem.

For a right triangle with acute angle A, the sine, cosine and tangent of angle A are these ratios of the lengths of the sides:

\(\sin A = \dfrac{opp}{hyp} \)

\(\cos A = \dfrac{adj}{hyp}\)

\(\tan A = \dfrac{opp}{adj} \)

Answer 22

Are you familiar with those ratios?

Answer 23

No I'm not I don't know what they mean either

Answer 24

Here is part c. of your problem:

"c. Find the sine, cosine, and tangent of the 30° angle in the lot. Write your answers as decimals rounded to four decimal places."

If the problem is asking for the sine, cosine, and tangent, it means you must be learning this material. I can go over it with you, but this should be a review, not new material.

Answer 25

Well I'm taking a test and I have to pass this one and get one more question right to pass and this was not one of my strong suits and I just never grasped the whole concept of how to do it or understanding it

Answer 26

I'm trying my hardest to learn it though

Answer 27

The sine, cosine, and tangent ratios are the ratios shown above.
Pick an acute angle of a right triangle.
A right triangle has 3 sides like any other triangle, but in a right triangle, the sides have special names.
The longest side which is also opposite the 90-deg angle is called the hypotenuse.
The other two sides, which form the right angle r called the legs.
If you pick an acute angle of a right triangle, and think of it, then one leg is next to that angle. It is called the adjacent leg.
The other leg is across from it. It is the called the opposite leg.
The hypotenuse is the side opposite the right angle. There is only one hypotenuse.

The sine, cosine, and tangent ratios are the ratios shown above.
The values of these ratios are known for any angle. Any scientific calculator will give you the ratios of r any angle measurement.

In part a., let's pick the 30-deg angle as our angle of interest.
I'll call that angle, angle A.